Anita has written a book of tips on staying healthy. Each book weighs 15/16 lb . If she packs 12 books in a box for shipping, what will be the shipping weight, excluding the box? Convert the answer to a mixed number.(1 point)
To find the shipping weight of 12 books, we need to multiply the weight of one book by the number of books.
Weight of one book = 15/16 lb
Number of books = 12
Weight of 12 books = (15/16) lb * 12
To multiply fractions, we multiply the numerators (top numbers) and the denominators (bottom numbers):
Weight of 12 books = (15 * 12) / (16 * 1) lb
Weight of 12 books = 180 / 16 lb
We can simplify this fraction:
Weight of 12 books = 45/4 lb
To convert this fraction to a mixed number, we divide the numerator by the denominator:
45 ÷ 4 = 11 remainder 1
The mixed number is 11 1/4 lb.
Therefore, the shipping weight, excluding the box, will be 11 1/4 lb.
To find the shipping weight of the books, excluding the box, we need to multiply the weight of a single book by the number of books in the box.
The weight of a single book is given as 15/16 lb.
So, to find the total weight of 12 books, we can set up the following multiplication:
(15/16 lb) x 12
To multiply fractions, we multiply the numerators (top numbers) to get the new numerator, and multiply the denominators (bottom numbers) to get the new denominator. Like this:
(15 x 12) / (16 x 1)
The numerator becomes 180 and the denominator becomes 16.
So, the total weight of 12 books is 180/16 lb.
To convert this fraction into a mixed number, we divide the numerator (180) by the denominator (16). The remainder will become the numerator of the fraction part.
180 ÷ 16 = 11 with a remainder of 4.
So, the mixed number will be:
11 4/16 lb
Simplifying the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 4, we get:
11 1/4 lb
Therefore, the shipping weight of the books, excluding the box, is 11 1/4 lb.